Nonlinear \(p\)-multigrid preconditioner for implicit time integration of compressible Navier-Stokes equations with \(p\)-adaptive flux reconstruction
DOI10.1007/s10915-022-02037-wOpenAlexW4308628231MaRDI QIDQ2103468
F. D. Witherden, Lai Wang, W. Trojak, Anthony Jameson
Publication date: 13 December 2022
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10915-022-02037-w
GMRESRosenbrock-Wanner methods\(p\)-adaptation\(p\)-multigridpseudo transient continuationESDIRK methods
Basic methods in fluid mechanics (76Mxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Compressible fluids and gas dynamics (76Nxx)
Cites Work
- Unnamed Item
- A \(p\)-multigrid spectral difference method with explicit and implicit smoothers on unstructured triangular grids
- Connections between the filtered discontinuous Galerkin method and the flux reconstruction approach to high order discretizations
- \(p\)-multigrid solution of high-order discontinuous Galerkin discretizations of the compressible Navier-Stokes equations
- A new class of high-order energy stable flux reconstruction schemes
- Implicit time integration schemes for the unsteady compressible Navier-Stokes equations: Laminar flow
- Multigrid algorithms for high-order discontinuous Galerkin discretizations of the compressible Navier-Stokes equations
- A unifying lifting collocation penalty formulation including the discontinuous Galerkin, spectral volume/difference methods for conservation laws on mixed grids
- A dynamically load-balanced parallel \(p\)-adaptive implicit high-order flux reconstruction method for under-resolved turbulence simulation
- Solution of the Euler equations for two dimensional transonic flow by a multigrid method
- Multicloud: Multigrid convergence with a meshless operator
- Experiments with implicit upwind methods for the Euler equations
- Spectral element multigrid. I: Formulation and numerical results
- Approximate Riemann solvers, parameter vectors, and difference schemes
- Multigrid strategies for viscous flow solvers on anisotropic unstructured meshes
- Jacobian-free Newton-Krylov methods: a survey of approaches and applications.
- Linearly implicit Rosenbrock-type Runge-Kutta schemes applied to the discontinuous Galerkin solution of compressible and incompressible unsteady flows
- Towards industrial large eddy simulation using the FR/CPR method
- Compact direct flux reconstruction for conservation laws
- An exponential time-integrator scheme for steady and unsteady inviscid flows
- A p-multigrid compact gas-kinetic scheme for steady-state acceleration
- Efficient discontinuous Galerkin implementations and preconditioners for implicit unsteady compressible flow simulations
- Comparison of ROW, ESDIRK, and BDF2 for unsteady flows with the high-order flux reconstruction formulation
- Locally adaptive pseudo-time stepping for high-order flux reconstruction
- An analysis of the Prothero-Robinson example for constructing new DIRK and ROW methods
- A \(p\)-multigrid discontinuous Galerkin method for the Euler equations on unstructured grids
- Newton-GMRES Preconditioning for Discontinuous Galerkin Discretizations of the Navier–Stokes Equations
- Numerical Solution of the Euler Equations with a Multiorder Discontinuous Finite Element Method
- Agglomeration multigrid for the three-dimensional Euler equations
- Preconditioning applied to variable and constant density flows
This page was built for publication: Nonlinear \(p\)-multigrid preconditioner for implicit time integration of compressible Navier-Stokes equations with \(p\)-adaptive flux reconstruction
